Does Apple charge a fee for a diagnostic test or something

My Macbook Pro does not produce any Backlight, have tried Pram and SMC Reset both didnt seem to have much of an affect.

My Keyboard does no longer produce light too.

I would therefore like to bring my Macbook Pro to Apple for them to have a look at it but would to know whether they will charge me a fee.

Its a early 2011 model and I run out of warranty as well.

Thank you